All categories

3 years ago

What are the solutions to the equation -54 + 6x = 0

Mathematics

2 answers:

irakobra [83]3 years ago

8 0

Add 54 on both sides of the equation to cancel out the -54 on the left side, the equation 6x = 54

Divide both sides of the equation by 6 to cancel out the 6 in 6x, making the equation x = 9.

There’s the answer. x is equal to 9.

Sladkaya [172]3 years ago

7 0

Answer:

x=9

Step-by-step explanation:

-54 + 6x = 6 • (x - 9)
Solve : 6 = 0
Solve : x-9 = 0
Add 9 to both sides of the equation : x = 9

You might be interested in

What is the solution to the linear equation? 4b + 6 = 2 – b + 4

Reil [10]

Answer:

$\large\boxed{b=0}$

Step-by-step explanation:

$4b+6=2-b+4\qquad\text{combine like terms}\\\\4b+6=(2+4)-b\qquad\text{add}\ b\ \text{to both sides}\\\\5b+6=6\qquad\text{subtract 6 from both sides}\\\\5b=0\qquad\text{divide both sides by 5}\\\\b=0$

8 0

3 years ago

Read 2 more answers

Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes.

svlad2 [7]

D=number of dimes
q=number of quarters

let's count everything in cents
dimes are worth 10 cents
quarters are worth 25 cents

10d+25q=700
divide both sides by 5
2d+5q=140

he has 7 more quarters than dimes
q=7+d
subsitute 7+d for q in other equation

2d+5q=140
2d+5(7+d)=140
2d+35+5d=140
7d+35=140
minus 35 both sides
7d=105
divide both sides by 7
d=15

sub back

q=7+d
q=7+15
q=22

22 quarters and 15 dimes

3 0

3 years ago

Read 2 more answers

About 543 out of every 1,000 people in United States owned a cell phone in 2003.In japan,the are was 68 for every 100 people.How

Softa [21]

Answer:

The greater percent of cell phone ownership in Japan than the U.S was 13.7%.

Step-by-step explanation:

Given:

About 543 out of every 1,000 people in United States owned a cell phone in 2003.

In japan,the are was 68 for every 100 people.

Now, to find the greater percent of cell phone ownership in Japan than the U.S.

So, to get the percent of people owned cell phone in United States:

$\frac{543}{1000}\times 100$

$=0.543\times 100$

$=54.3\%.$

Now, to get the percent of people owned cell phone in Japan:

$\frac{68}{100} \times 100\\\\=0.68\times 100\\\\=68\%.$

So, to get the percent greater of cell phone ownership in Japan than the U.S we subtract the percent of people owned cell phone in United States from the percent of people owned cell phone in Japan:

$68\%-54.3\%\\\\=13.7\%.$

Therefore, the greater percent of cell phone ownership in Japan than the U.S was 13.7%.

5 0

3 years ago

Sami's boss asked him to cut 78⁄5 feet of rope to tie down a load on a truck. How much rope should Sami cut? A. 151⁄5 feet B. 16

Vitek1552 [10]

how many times does 5 go into 78

78/5

it goes 15 times with 3 left over (15*5 = 75 75+3 = 78)

15 3/5 ft

5 0

3 years ago

Read 2 more answers

The weight of strawberries follows a normal distribution with a mean weight of 12 grams and a standard deviation of 2.5 grams. I

Viefleur [7K]

This is a problem of Standard Normal distribution.

We have mean= 12 grams
Standard Deviation = 2.5 grams

First we convert 8.5 to z score. 8.5 converted to z score for given mean and standard deviation will be:

$z= \frac{8.5-12}{2.5} =-1.4$

So, from standard normal table we need to find the probability of z score to be less than -1.4. The probability comes out to be 0.0808

Thus, the probability that the strawberry weighs less than 8.5 grams is 0.0808

6 0

3 years ago